10305536 has 60 divisors (see below), whose sum is σ = 22412628. Its totient is φ = 4718592.

The previous prime is 10305521. The next prime is 10305539. The reversal of 10305536 is 63550301.

It can be written as a sum of positive squares in 2 ways, for example, as 8667136 + 1638400 = 2944^2 + 1280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305539) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278510 + ... + 278546.

Almost surely, 2^10305536 is an apocalyptic number.

10305536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10305536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206314).

10305536 is an abundant number, since it is smaller than the sum of its proper divisors (12107092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10305536 is an frugal number, since it uses more digits than its factorization.

10305536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 10305536 is about 3210.2236682200. The cubic root of 10305536 is about 217.6156851439.

Adding to 10305536 its reverse (63550301), we get a palindrome (73855837).

The spelling of 10305536 in words is "ten million, three hundred five thousand, five hundred thirty-six".